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Elza [17]
3 years ago
12

1/2(3/2y+1/3)=-1/2(y-5/2)

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

y = - 17/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

And if you find my answer helpful, please consider marking it Brainliest

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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
3 years ago
In the Cartesian Coordinate System, the intersection of the axis is called the origin. What is this called in the Polar coordina
Nookie1986 [14]

it's plural so axes*

and in pilar coordinates, the axes are circular so they never intersect but the centre point is still called origin.

4 0
3 years ago
3<br> 0 +<br> x+1<br> 2<br> ≤ −<br> 3x+1<br> 4
nlexa [21]

Answer:

<em>solve for x </em>

x   ≤  −  7

6 0
3 years ago
Determine the slope of the line represented by y = 2x - 9
lbvjy [14]

Answer:

2

Step-by-step explanation:

2x is the slope which is just 2

7 0
3 years ago
The graph shows f(x)=(1/2)and its translation, g(x).
san4es73 [151]

The translation of four units up describes the transform function g(x) option first is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

The graph shows f(x)=(1/2)ˣ and its translation, g(x).

Which describes the translation of f(x) to g(x)?

  • Translation of four units up
  • Translation of five units up
  • Translation of four units to the right
  • Translation of five units to the right

The graph is attached please refer to the picture.

We have the equation of the function f(x):

\rm f(x) = (\dfrac{1}{2})^x

From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)

g(x) = f(x) + 4

\rm g(x) = (\dfrac{1}{2})^x + 4

Thus, the translation of four units up describes the transform function g(x) option first is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
2 years ago
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